International Journal of Control, Automation and Systems 2018; 16(5): 2214-2224
Published online July 25, 2018
https://doi.org/10.1007/s12555-017-0788-5
© The International Journal of Control, Automation, and Systems
This paper investigates the fixed-time synchronization of memristive Cohen-Grossberg neural networks with impulsive effects. Through a nonlinear transformation and Fillipov discontinuous theory, we obtain an equivalent system from the original memristive Cohen-Grossberg neural networks. By constructing a discontinuous Lyapunov function and utilizing comparison principle, a sufficient condition is achieved to guarantee the fixed-time synchronization of drive-response system with impulsive effects. Moreover, for the purpose of reducing the cost of control, an adaptive control strategy is considered. Finally, corresponding numerical simulations are carried out to show the effectiveness of the analytic results."
Keywords Cohen-Grossberg neural networks, fixed-time synchronization, impulsive effects, memristive.
International Journal of Control, Automation and Systems 2018; 16(5): 2214-2224
Published online October 1, 2018 https://doi.org/10.1007/s12555-017-0788-5
Copyright © The International Journal of Control, Automation, and Systems.
Ruoyu Wei, Jinde Cao*, and Ahmed Alsaedi
Southeast University
This paper investigates the fixed-time synchronization of memristive Cohen-Grossberg neural networks with impulsive effects. Through a nonlinear transformation and Fillipov discontinuous theory, we obtain an equivalent system from the original memristive Cohen-Grossberg neural networks. By constructing a discontinuous Lyapunov function and utilizing comparison principle, a sufficient condition is achieved to guarantee the fixed-time synchronization of drive-response system with impulsive effects. Moreover, for the purpose of reducing the cost of control, an adaptive control strategy is considered. Finally, corresponding numerical simulations are carried out to show the effectiveness of the analytic results."
Keywords: Cohen-Grossberg neural networks, fixed-time synchronization, impulsive effects, memristive.
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